We study the mean-square composite-rotating consensus problem of second-order multi-agent systems with communication noises, where all agents rotate around a common center and the center of rotation spins around a fix...We study the mean-square composite-rotating consensus problem of second-order multi-agent systems with communication noises, where all agents rotate around a common center and the center of rotation spins around a fixed point simultaneously. Firstly, a time-varying consensus gain is introduced to attenuate to the effect of communication noises. Secondly, sufficient conditions are obtained for achieving the mean-square composite-rotating consensus. Finally, simulations are provided to demonstrate the effectiveness of the proposed algorithm.展开更多
In the real world,rule makers can only restrict,not completely control the behavior of the governed,while the governed can only choose their behavior patterns under these restrictions.In this paper,we design a new con...In the real world,rule makers can only restrict,not completely control the behavior of the governed,while the governed can only choose their behavior patterns under these restrictions.In this paper,we design a new control protocol called free protocol to describe this situation.First,we calculate consensus probabilities based on the information of the interaction networks.Then,sufficient conditions are obtained for all agents converging to a same value with probability one.Finally,numerical simulation results are given to verify the above results.展开更多
基金supported by the China Postdoctoral Science Foundation(201003021)the National Natural Science foundation of China(11001004)PHR(IHLB,Grant No.201102,20110891)
基金Project supported by the National Natural Science Foundation of China(Grant Nos.61304155 and 11371049)Beijing Municipal Government Foundation for Talents,China(Grant No.2012D005003000005)
文摘We study the mean-square composite-rotating consensus problem of second-order multi-agent systems with communication noises, where all agents rotate around a common center and the center of rotation spins around a fixed point simultaneously. Firstly, a time-varying consensus gain is introduced to attenuate to the effect of communication noises. Secondly, sufficient conditions are obtained for achieving the mean-square composite-rotating consensus. Finally, simulations are provided to demonstrate the effectiveness of the proposed algorithm.
基金the National Natural Science Foundation of China(Grant No.61973329)the Beijing Natural Science Foundation,China(Grant No.Z180005)。
文摘In the real world,rule makers can only restrict,not completely control the behavior of the governed,while the governed can only choose their behavior patterns under these restrictions.In this paper,we design a new control protocol called free protocol to describe this situation.First,we calculate consensus probabilities based on the information of the interaction networks.Then,sufficient conditions are obtained for all agents converging to a same value with probability one.Finally,numerical simulation results are given to verify the above results.